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Graph Sine and Cosine

Student will use the unit circle coordinates and angles to create the data that they will use to graph the sine and cosine functions and show the data is on the graph of them. The students will move a point in a graph to manually collect the data needed to make the graph. They will edit spreads...
https://education.ti.com/en/activity/detail/graph-sine-and-cosine

Zeros of a Cubic

This activity introduces students to a relationship between the zeros of a cubic function with 3 distinct zeros.
https://education.ti.com/en/activity/detail/zeros-of-a-cubic

Introducing Absolute Value

This activity introduces absolute value from a data value perspective. Students examine data by comparing individual data points to the mean by finding the difference (positive or negative) and the distance from the mean. They then plot the distances vs. the differences and examine the shape of t...
https://education.ti.com/en/activity/detail/introducing-absolute-value

Proof of Identity

Students use graphs to verify the reciprocal identities. They then use the handheld's manual graph manipulation feature to discover the negative angle, cofunction, and Pythagorean trigonometric identities. Geometric proofs of these identities are given as well.
https://education.ti.com/en/activity/detail/proof-of-identity_1

Permutations

Students are led through the development of the formula for finding n objects taken n at a time and then n objects taken r at a time.
https://education.ti.com/en/activity/detail/permutations_1

The Unit Circle

Students will be able to describe the relationship between the unit circle and the sine and cosine functions. They will be also able to describe the shape of the sine and cosine curves after "unwrapping" the unit circle.
https://education.ti.com/en/activity/detail/the-unit-circle

The Function Elevator

This lesson involves creating and comparing graphical representations of position and velocity functions from a scenario.
https://education.ti.com/en/activity/detail/the-function-elevator

Outbreak

Students explore a geometric sequence related to an outbreak of the flu, extrapolate to make predictions based on given data, and apply summation notation to determine the sum of any number of terms, n, in a series.
https://education.ti.com/en/activity/detail/outbreak

Quadratic Formula and Discriminant

This interactive quiz first steps students through the derivation of the quadratic formula by completing the square, and then generates random quadratics for which students need to show the steps of solving by first finding the value of the discriminant, and then using it in the formula. There ar...
https://education.ti.com/en/activity/detail/quadratic-formula-and-discriminant

Remember When

In this activity, students will model the relationship between the year and average income, average price of a house, and average price of a car using exponential functions. Then students will answer questions related to the models to gain a deeper understanding of exponential functions.
https://education.ti.com/en/activity/detail/remember-when

NASA - Newton's Cool in the Pool

To prepare for spacewalks, astronauts train at NASA's Neutral Buoyancy Laboratory (NBL). NASA also uses the NBL to develop flight procedures and verify hardware compatibility -- all of which are necessary to achieve mission success. In this problem, students are presented with a power outage, in...
https://education.ti.com/en/activity/detail/nasa--newtons-cool-in-the-pool

Modeling with a Quadratic Function

In this lesson, students use a quadratic function to model the flight path of a basketball. Students will interpret the parameters of the quadratic model to answer questions related to the path of the basketball.
https://education.ti.com/en/activity/detail/modeling-with-a-quadratic-function

Elliptical Orbits

This lesson involves generating equations of best fit for an ellipse.
https://education.ti.com/en/activity/detail/elliptical-orbits

How Many Solutions 2

Recognize that a system of two equations in two variables can have no solution, one or more solutions, or infinitely many solutions.
https://education.ti.com/en/activity/detail/how-many-solutions-2

Modeling Engine Power

In this activity, students use the TI-Nspire handheld to determine if a linear model or a quadratic model best fits a set of given data involving engine power. Students look at the pattern of data points and the sum of squares of the deviations to determine which model fits the data.
https://education.ti.com/en/activity/detail/modeling-engine-power

Have You Lost Your Marbles?

In this activity, students will create a bridge between two chairs and use a slinky to attach a bucket to the bridge. Students will add objects to the bucket and determine the relationship between the number of items added and the distance from the floor.
https://education.ti.com/en/activity/detail/have-you-lost-your-marbles

Combinations

This activity introduces students to combinations. They derive the formula for the number of combinations of n objects taken r at a time by starting with a list of permutations and eliminating those that name the same group, just in a different order. From here they see how the number of combinat...
https://education.ti.com/en/activity/detail/combinations

Linear Programming

This activity adds a twist to a traditional linear programming problem by using the features of the TI-Nspire handheld.
https://education.ti.com/en/activity/detail/linear-programming

Linear Inequalities

...ion will consist of graphing the region that satisfies all the inequalities. The solution will produce a feasible region and the vertices that will yield a maximum profit or a minimum cost. This activity will help student work with linear inequalities to find the maximum profit for a real world p...
https://education.ti.com/en/activity/detail/linear-inequalities

Discriminant Testing

Discover the relationship between the value of the discriminant and the nature of the roots of quadratic functions.
https://education.ti.com/en/activity/detail/discriminant-testing

Dilations with Matrices

In this activity, students will use matrices to perform dilations centered at the origin of triangles. Students will explore the effect of the scale factor on the size relationship between the preimage and image of a polygon.
https://education.ti.com/en/activity/detail/dilations-with-matrices_1

Constructing an Ellipse

Students will explore two different methods for constructing an ellipse. Students discover that the sum of the distances from a point on an ellipse to its foci is always constant. This fact is then used as the basis for an algebraic derivation of the general equation for an ellipse centered at th...
https://education.ti.com/en/activity/detail/constructing-an-ellipse_1

When Is Tangent, tangent?

This activity combines the ideas of unit circle, and a line tangent to the unit circle to explain how Tangent (the trig. ratio) is related to the concept of tangent to a figure (from geometry). The intent is to briefly explore the mathematical history of the trigonometric ratio "tangent" through ...
https://education.ti.com/en/activity/detail/when-is-tangent-tangent

Analyzing an Electricity Bill

This investigation guides the students through using a piecewise function to model an electric bill.
https://education.ti.com/en/activity/detail/analyzing-an-electricity-bill

Given the Graph of a Parabola, State its Equation in Vertex Form

This activity is designed for students to study on their own. It is designed in a 'StudyCard' format. A graph of a parabola will be shown. The student is asked to find the equation of the parabola in vertex form: y = a*(x - h)^(2) + v. Press enter on the double up arrow in the Ans... section t...
https://education.ti.com/en/activity/detail/given-the-graph-of-a-parabola-state-its-equation-in-vertex-form